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Least number k such that k^3 is the sum of n positive squares.
1

%I #2 Mar 30 2012 17:22:34

%S 1,2,3,3,2,3,3,2,3,3,3,3,3,4,3,3,4,3,3,4,3,4,4,3,4,4,3,4,4,4,4,4,4,4,

%T 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,4,4,5,4,4,5,4,5,5,4,5,5,4,5,5,5,5,

%U 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5

%N Least number k such that k^3 is the sum of n positive squares.

%C The cube root of A100499. It appears that for n in [k^3+1,(k+1)^3], a(n) is either k+1 or k+2.

%Y Cf. A100499 (least cube that is the sum of n positive squares).

%K nonn

%O 1,2

%A _T. D. Noe_, Jan 03 2005